Spatially Coupled Quasi-Cyclic Quantum LDPC Codes

被引:0
|
作者
Hagiwara, Manabu [2 ]
Kasai, Kenta [1 ]
Imai, Hideki [2 ,3 ]
Sakaniwa, Kohichi [1 ]
机构
[1] Natl Inst Adv Ind Sci & Technol, Res Ctr Informat Secur, Tokyo, Japan
[2] Tokyo Inst Technol, Dept Commun & Integrated Syst, Tokyo 1528550, Japan
[3] Chuo Univ, Fac Sci & Engn, Dept Elect Elect & Commun Engn, Tokyo 1128551, Japan
关键词
Spatial coupling; LDPC code; Iterative decoding; CSS codes; Quantum error-correcting codes; ERROR-CORRECTING CODES;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
For designing low-density parity-check (LDPC) codes for quantum error-correction, we desire to satisfy the conflicting requirements below simultaneously. 1) The row weights of parity-check "should be large": The minimum distances are bounded above by the minimum row weights of parity-check matrices of constituent classical codes. Small minimum distance tends to result in poor decoding performance at the error-floor region. 2) The row weights of parity-check matrices " should not be large": The performance of the sum-product decoding algorithm at the water-fall region is degraded as the row weight increases. Recently, Kudekar et al. showed spatially-coupled (SC) LDPC codes exhibit capacity-achieving performance for classical channels. SC LDPC codes have both large row weight and capacity-achieving error-floor and water-fall performance. In this paper, we propose a new class of quantum LDPC codes based on spatially coupled quasi-cyclic LDPC codes. The performance outperforms that of quantum "non-coupled" quasi-cyclic LDPC codes.
引用
收藏
页码:638 / 642
页数:5
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